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Finding the Third Proportional to 124,392 and 186,392

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Solution

The third proportional to 124,392 and 186,392 is: 279,294.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,392 : 186,392 = 186,392 : x
  2. Step 2: Convert to fraction form
    124,392/186,392 = 186,392/x
  3. Step 3: Cross multiply
    124,392x = 186,392 × 186,392
  4. Step 4: Simplify right side
    124,392x = 34,741,977,664
  5. Step 5: Solve for x
    x = 34,741,977,664/124,392
  6. Step 6: Final answer
    x = 279,294.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.